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Simplifying 5p + -14 = 4(2p + 1) Reorder the terms: -14 + 5p = 4(2p + 1) Reorder the terms: -14 + 5p = 4(1 + 2p) -14 + 5p = (1 * 4 + 2p * 4) -14 + 5p = (4 + 8p) Solving -14 + 5p = 4 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -14 + 5p + -8p = 4 + 8p + -8p Combine like terms: 5p + -8p = -3p -14 + -3p = 4 + 8p + -8p Combine like terms: 8p + -8p = 0 -14 + -3p = 4 + 0 -14 + -3p = 4 Add '14' to each side of the equation. -14 + 14 + -3p = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -3p = 4 + 14 -3p = 4 + 14 Combine like terms: 4 + 14 = 18 -3p = 18 Divide each side by '-3'. p = -6 Simplifying p = -6
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